The only places I've been to that really do it well, are tracks and farms in Kentucky. Most likely the same in any high end horse area.
They put drain pipe down in gravel, that is covered with a mix of sands, clay, gravel, which is covered with yet another mix. You end up with about 12 to 18" of product down. It works and works well for years.
That sounds awful and expensive, but, your county's extension office can offer Do It Yourself plans for drainage that, while labor intensive, are for smaller projects and at a much lower cost.
So worth it. And you could through a party upon completion and dance on your non-muddy entrances!